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Finding the Fourth Proportional to 6,133.44, 9,194.16 and 2,434.44

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Solution

The fourth proportional to 6,133.44, 9,194.16 and 2,434.44 is: 3,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.44 : 9,194.16 = 2,434.44 : x
  2. Step 2: Convert to fraction form
    6,133.44/9,194.16 = 2,434.44/x
  3. Step 3: Cross multiply
    6,133.44x = 9,194.16 × 2,434.44
  4. Step 4: Simplify right side
    6,133.44x = 22,382,630.87
  5. Step 5: Solve for x
    x = 22,382,630.87/6,133.44
  6. Step 6: Final answer
    x = 3,649.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.